{'ambient': '1296.157', 'aut_centralizer_order': 36, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '48.38', 'aut_weyl_index': 324, 'centralizer': '216.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '18.f1.a1', '18.h1.a1', '18.i1.a1', '27.b1.a1'], 'contains': ['108.a1.a1', '108.e1.a1', '162.b1.a1'], 'core': '108.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6403, -1, 5957, -1, 6485, -1, 6563, -1], 'generators': [7, 324, 648, 36], 'id': 70719418, 'label': '1296.157.54.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1.a1', 'old_label': '54.d1.a1', 'projective_image': '648.77', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.6'}